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Finding the Fourth Proportional to 65,345, 90,178.02 and 35,538.92

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Solution

The fourth proportional to 65,345, 90,178.02 and 35,538.92 is: 49,044.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,345 : 90,178.02 = 35,538.92 : x
  2. Step 2: Convert to fraction form
    65,345/90,178.02 = 35,538.92/x
  3. Step 3: Cross multiply
    65,345x = 90,178.02 × 35,538.92
  4. Step 4: Simplify right side
    65,345x = 3,204,829,438.54
  5. Step 5: Solve for x
    x = 3,204,829,438.54/65,345
  6. Step 6: Final answer
    x = 49,044.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.